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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 16 > No. 4

 
   

Statistical Approach to Nonlinear Schro ̈ dinger Equation. Quantum Case

PP: 617-621
doi:10.18576/amis/160415
Author(s)
Mukhayo Yunusovna Rasulova,
Abstract
A new method is proposed to obtain nonlinear Schrödinger equations by the chain of Bogoliubov–Born–Green–Kirkwood–Yvon (BBGKY) quantum kinetic equations. In that sense, we investigate the dynamics of a quantum system including an infinite number of identical particles which interact via a (special) pair potential in the form of Dirac delta-function.

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